The Separation of Similar Frequency Sinusoidal Signal Based on the Least Square Method
Wang Zhe-ying①; Ma Ming-xu②; Piao Feng-xian③; Wang Zhe-feng④
①Metal Forming Research Office, Shenyang University of Technology, Shenyang 110023, China; ②Shenyang Institute of Automation, Chinese Academy of Sciences,Shenyang 110016, China;③Shenyang Institute of Aeronautical Engineering, Shenyang 110034, China; ④Material & Metallurgy Academic, Northeastern University, Shenyang , 110004 , China
Abstract：Traditional FFT can effectively analyze the sinusoidal signal, but the very big error exists for analyzing the similar frequency sinusoidal signal. In this article, adopting Least Square (LS) method which can separate similar frequency sinusoidal signal is put forward. Characteristic parameters of separating similar frequency sinusoidal signal can be identified by satisfying termination criterion of 2-norm minimum and solving overdetermined equations on observation matrix. The simulation result shows that each component of similar frequency signal such as amplitude, phase angle can be separated from original signal, the interference of noise can effectively be restrained, noise stability and the frequency domain analysis ability become better, so the efficiency and precision of signal processing can be raised.
王哲英; 马明旭; 朴凤贤; 王哲锋. 最小二乘法分离频率相近的正弦信号[J]. 电子与信息学报, 2006, 28(1): 60-65 .
Wang Zhe-ying①; Ma Ming-xu②; Piao Feng-xian③; Wang Zhe-feng④. The Separation of Similar Frequency Sinusoidal Signal Based on the Least Square Method. , 2006, 28(1): 60-65 .
2006, Vol. 28 
